Abstract
This paper considers the static bicycle repositioning problem (SBRP), which deals with optimally re-balancing bike sharing systems (BSS) overnight, i.e. using service vehicles to move bikes from (nearly) full stations to (nearly) empty stations. An exhaustive literature survey comparing existing models is presented, and a new and improved mathematical formulation for the SBRP is proposed. The model is tested on a number of instances generated based on data from a real BSS.
Keywords
- Valid Inequality
- Bender Decomposition
- Vehicle Capacity
- Large Neighborhood Search
- Delivery Station
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Angeloudis, P., Hu, J., Bell, M.G.: A strategic repositioning algorithm for bicycle-sharing schemes. Transportmetrica A Transp. Sci. 10(8), 759–774 (2014)
Benchimol, M., Benchimol, P., Chappert, B., De La Taille, A., Laroche, F., Meunier, F., Robinet, L.: Balancing the stations of a self service “bike hire” system. RAIRO Oper. Res. 45(1), 37–61 (2011)
Berbeglia, G., Cordeau, J.F., Gribkovskaia, I., Laporte, G.: Static pickup and delivery problems: a classification scheme and survey. Top 15(1), 1–31 (2007)
Brinkmann, J., Ulmer, M.W., Mattfeld, D.C.: Short-term strategies for stochastic inventory routing in bike sharing systems. Transp. Res. Procedia 10, 364–373 (2015)
Caggiani, L., Ottomanelli, M.: A modular soft computing based method for vehicles repositioning in bike-sharing systems. Procedia Soc. Behav. Sci. 54, 675–684 (2012)
Chemla, D., Meunier, F., Calvo, R.W.: Bike sharing systems: solving the static rebalancing problem. Discrete Optim. 10(2), 120–146 (2013)
Contardo, C., Morency, C., Rousseau, L.M.: Balancing a dynamic public bike-sharing system. Technical report CIRRELT-2012-09, Universitè de Montrèal, Montrèal, Canada (2012). http://claudio.contardo.org/wp-content/uploads/2011/09/CIRRELT-2012-09.pdf
Dell’Amico, M., Hadjicostantinou, E., Iori, M., Novellani, S.: The bike sharing rebalancing problem: mathematical formulations and benchmark instances. Omega 45, 7–19 (2014)
DeMaio, P.: Bike-sharing: history, impacts, models of provision, and future. J. Public Transp. 12(4), 3 (2009)
DeMaio, P., Meddin, R.: The bike-sharing world map (2015). www.bikesharingmap.com. Accessed 06 Oct 2015
Desrochers, M., Laporte, G.: Improvements and extensions to the Miller-Tucker-Zemlin subtour elimination constraints. Oper. Res. Lett. 10(1), 27–36 (1991)
Erdoğan, G., Battarra, M., Calvo, R.: An exact algorithm for the static rebalancing problem arising in bicycle sharing systems. Eur. J. Oper. Res. 245(3), 667–679 (2015)
Erdoğan, G., Laporte, G., Calvo, R.W.: The static bicycle relocation problem with demand intervals. Eur. J. Oper. Res. 238(2), 451–457 (2014)
Forma, I.A., Raviv, T., Tzur, M.: A 3-step math heuristic for the static repositioning problem in bike-sharing systems. Transp. Res. Part B Methodol. 71, 230–247 (2015)
Fricker, C., Gast, N.: Incentives and redistribution in homogeneous bike-sharing systems with stations of finite capacity. EURO J. Transp. Logistics 3, 1–31 (2014)
García-Palomares, J.C., Gutiérrez, J., Latorre, M.: Optimizing the location of stations in bike-sharing programs: a GIS approach. Appl. Geogr. 35(1), 235–246 (2012)
Gaspero, L., Rendl, A., Urli, T.: Balancing bike sharing systems with constraint programming. Constraints 21(2), 318–348 (2016)
Hernández-Pérez, H., Salazar-González, J.J.: The one-commodity pickup-and-delivery traveling salesman problem: Inequalities and algorithms. Networks 50(4), 258–272 (2007)
Ho, S.C., Szeto, W.: Solving a static repositioning problem in bike-sharing systems using iterated tabu search. Transp. Res. Part E: Logistics and Transp. Rev. 69, 180–198 (2014)
Kaspi, M., Raviv, T., Tzur, M.: Detection of unusable bicycles in bike-sharing systems (2015). http://www.eng.tau.ac.il/talraviv/Publications/DetectionUnusableBicycles.pdf, working paper. Tel-Aviv University. Accessed 08 Nov 2015
Kloimüllner, C., Papazek, P., Hu, B., Raidl, G.R.: Balancing bicycle sharing systems: an approach for the dynamic case. In: Blum, C., Ochoa, G. (eds.) EvoCOP 2014. LNCS, vol. 8600, pp. 73–84. Springer, Heidelberg (2014)
Laporte, G., Meunier, F., Calvo, W.R.: Shared mobility systems. 4OR 13(4), 341–360 (2015)
Lin, J.R., Yang, T.H.: Strategic design of public bicycle sharing systems with service level constraints. Transp. Res. Part E Logistics Transp. Rev. 47(2), 284–294 (2011)
Midgley, P.: Bicycle-sharing schemes: enhancing sustainable mobility in urban areas. In: 19th Session of the Commission on Sustainable Development, 02 May 2011. United Nations, Department of Economic and Social Affairs, Background Paper No. 8, May 2011
Miller, C.E., Tucker, A.W., Zemlin, R.A.: Integer programming formulation of traveling salesman problems. J. ACM (JACM) 7(4), 326–329 (1960)
Nair, R., Miller-Hooks, E., Hampshire, R.C., Bušić, A.: Large-scale vehicle sharing systems: analysis of Vélib’. Int. J. Sustain. Transp. 7(1), 85–106 (2013)
O’Mahony, E., Shmoys, D.B.: Data analysis and optimization for (citi) bike sharing. In: Twenty-Ninth AAAI Conference on Artificial Intelligence, 25 January 2015. Association for the Advancement of Artificial Intelligence, January 2015
Rainer-Harbach, M., Papazek, P., Hu, B., Raidl, G.R.: Balancing bicycle sharing systems: a variable neighborhood search approach. In: Middendorf, M., Blum, C. (eds.) EvoCOP 2013. LNCS, vol. 7832, pp. 121–132. Springer, Heidelberg (2013)
Rainer-Harbach, M., Papazek, P., Raidl, G.R., Hu, B., Kloimüllner, C.: PILOT, GRASP, and VNS approaches for the static balancing of bicycle sharing systems. J. Global Optim. 63(3), 597–629 (2015)
Raviv, T., Kolka, O.: Optimal inventory management of a bike-sharing station. IIE Trans. 45(10), 1077–1093 (2013)
Raviv, T., Tzur, M., Forma, I.A.: Static repositioning in a bike-sharing system: models and solution approaches. EURO J. Transp. Logistics 2(3), 187–229 (2013)
Regue, R., Recker, W.: Proactive vehicle routing with inferred demand to solve the bikesharing rebalancing problem. Transp. Res. Part E: Logistics Transp. Rev. 72, 192–209 (2014)
Romero, J.P., Ibeas, A., Moura, J.L., Benavente, J., Alonso, B.: A simulation-optimization approach to design efficient systems of bike-sharing. Procedia Soc. Behav. Sci. 54, 646–655 (2012)
Schuijbroek, J., Hampshire, R., van Hoeve, W.J.: Inventory rebalancing and vehicle routing in bike sharing systems (2013). http://repository.cmu.edu/cgi/viewcontent.cgi?article=2490&context=tepper, working paper. Tepper School of Business. Accessed Feb 2013–01 Dec 2015
Shaheen, S., Guzman, S., Zhang, H.: Bikesharing in Europe, the Americas, and Asia: past, present, and future. Transp. Res. Rec. J. Transp. Res. Board 2143, 159–167 (2010)
Sörensen, K., Dilip, D.: The (city) bike request scheduling problem-a novel approach to solve the city bike repositioning problem. In: Toklu, Y.C., Bekdas, G. (eds.) Metaheuristics and Engineering, Workshop of the EURO Working Group, vol. 15, pp. 157–161. Bilecik Şeyh Edebali University (2014)
Vogel, P., Ehmke, J.F., Mattfeld, D.C.: Service network design of bike sharing systems (2015). https://www.tu-braunschweig.de/Medien-DB/winfo/ publications/service_network_design_of_bike_sharing_systems.pdf, working paper. Technische Unversität Braunschweig. Accessed 24 Mar 2015–24 Sep 2015
Vogel, P., Greiser, T., Mattfeld, D.C.: Understanding bike-sharing systems using data mining: exploring activity patterns. Procedia Soc. Behav. Sci. 20, 514–523 (2011)
Vogel, P., Neumann Saavedra, B.A., Mattfeld, D.C.: A hybrid metaheuristic to solve the resource allocation problem in bike sharing systems. In: Blesa, M.J., Blum, C., Voß, S. (eds.) HM 2014. LNCS, vol. 8457, pp. 16–29. Springer, Heidelberg (2014)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Espegren, H.M., Kristianslund, J., Andersson, H., Fagerholt, K. (2016). The Static Bicycle Repositioning Problem - Literature Survey and New Formulation. In: Paias, A., Ruthmair, M., Voß, S. (eds) Computational Logistics. ICCL 2016. Lecture Notes in Computer Science(), vol 9855. Springer, Cham. https://doi.org/10.1007/978-3-319-44896-1_22
Download citation
DOI: https://doi.org/10.1007/978-3-319-44896-1_22
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-44895-4
Online ISBN: 978-3-319-44896-1
eBook Packages: Computer ScienceComputer Science (R0)